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Finding the Fourth Proportional to 268,176.80, 402,319.20 and 78,636.80

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Solution

The fourth proportional to 268,176.80, 402,319.20 and 78,636.80 is: 117,971.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,176.80 : 402,319.20 = 78,636.80 : x
  2. Step 2: Convert to fraction form
    268,176.80/402,319.20 = 78,636.80/x
  3. Step 3: Cross multiply
    268,176.80x = 402,319.20 × 78,636.80
  4. Step 4: Simplify right side
    268,176.80x = 31,637,094,466.56
  5. Step 5: Solve for x
    x = 31,637,094,466.56/268,176.80
  6. Step 6: Final answer
    x = 117,971.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.